# Search results

Physica A: Statistical Mechanics and its Applications > 2013 > 392 > 19 > 4516-4522

Archiv der Mathematik > 2019 > 113 > 5 > 497-503

*Z*(

*t*) depends on the parity of the zero-counting function

*N*(

*T*). Two existing definitions of this function are analyzed, and some related problems are discussed.

Mathematical Methods in the Applied Sciences > 42 > 4 > 1082 - 1098

*q*are positive coprime integers, and

*ζ*(

*a*,

*x*) denotes the Hurwitz zeta function. We prove explicit formula for the symmetric sum which is a new reciprocity law for the sum ${C}_{a}\left(\frac{p}{q}\right)$. Our result is a complement to recent results dealing with the sum studied by Bettin‐Conrey and then by Auli‐Bayad‐Beck. Accidentally,...

Monatshefte für Mathematik > 2019 > 189 > 2 > 295-319

Applicable Algebra in Engineering, Communication and Computing > 2019 > 30 > 4 > 275-284

Theoretical and Mathematical Physics > 2018 > 196 > 2 > 1111-1128

Acta Mathematica Hungarica > 2018 > 156 > 2 > 465-480

The Ramanujan Journal > 2018 > 47 > 1 > 141-154

Analysis Mathematica > 2018 > 44 > 1 > 51-56

Journal of Number Theory > 2018 > 184 > C > 451-460

European Journal of Mathematics > 2019 > 5 > 2 > 540-550

*n*th Li coefficient associated to a function field

*K*of genus

*g*with a finite field of constants $${\mathbb F}_{q}$$ F q and deduce some consequences of the obtained formulas and the Riemann hypothesis in the function fields case, which is equivalent to the statement for all positive integers

*n*. For example, we deduce sharp upper and...

Mathematische Nachrichten > 291 > 1 > 24 - 27

Computational Methods in Science and Technology > 2018 > Vol. 24, No. 4 > 215--220

Periodica Mathematica Hungarica > 2018 > 76 > 2 > 217-228

Journal of Statistical Physics > 2017 > 168 > 3 > 595-619

Finite Fields and Their Applications > 2017 > 45 > C > 53-58

Computational Mathematics and Mathematical Physics > 2017 > 57 > 2 > 211-235

*H*with the same tessellation of

*H*as that of the modular group. This allowed us to...

Journal of Number Theory > 2017 > 172 > C > 343-382